Finite Group Databasebeta

← C2×#10594536 #11903273

Subgroups — C2×#10594536 #11903273

Order 1152.

2609 conjugacy classes of subgroups.

The subgroup lattice has 652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4⋊C4×C3⋊D3C211yesmaximal, characteristic, complemented
2C2×C3×D3×C4⋊C4C211yesmaximal, characteristic, complemented
3C2×C3×#887C211yesmaximal, characteristic, complemented
4C2×#63918C211yesmaximal, characteristic, complemented
5C2×C4×#626C212yesmaximal
6C2×C4×#626C211yesmaximal, characteristic
7C2×#63871C211yesmaximal, characteristic, complemented
8C2×#63867C212yesmaximal, complemented
9C2×#63865C212yesmaximal, complemented
10C2×#63856C211yesmaximal, characteristic, complemented
11C2×#63851C212yesmaximal, complemented
12#10594536C2116yesmaximal, direct product factor
13C2×#5579—31nomaximal
14C2×#5511—31nomaximal
15C22×C4×C3⋊D3C2211yescharacteristic
16C22×C4×C3⋊D3C2212yes—
17C22×C3×C4×D3C2211yescharacteristic
18C22×C3×C4×D3C2212yes—
19C22×C3×Dic6C2211yescharacteristic
20C22×#627C2212yes—
21C22×#626C2211yescharacteristic
22C2×C32×C4⋊C4C2211yescharacteristic
23C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
24C2×#3750C2212yes—
25C4⋊C4×C3⋊D3C2218yescomplemented
26C2×C3×C4⋊Dic3C2211yescharacteristic
27C2×C3×Dic3⋊C4C2212yes—
28C2×C3×Dic3⋊C4C2212yes—
29C2×C3×C4×Dic3C2212yes—
30C2×C3×C4×Dic3C2211yescharacteristic
31C3×D3×C4⋊C4C2218yescomplemented
32C3×#887C2218yescomplemented
33C2×#3724C2212yes—
34C2×Dic3⋊Dic3C2212yes—
35C2×Dic3⋊Dic3C2211yescharacteristic
36C2×Dic3⋊Dic3C2212yes—
37C2×#3722C2211yescharacteristic
38C2×#3722C2212yes—
39C2×(C2×D3)⋊Dic3C2211yescharacteristic
40C2×(C2×D3)⋊Dic3C2212yes—
41#63918C2218yescomplemented
42C4×#626C2218yes—
43C4×#626C22116yes—
44#63871C2218yescomplemented
45#63867C22116yescomplemented
46#63865C22116yescomplemented
47#63856C2218yescomplemented
48#63851C22116yescomplemented
49C2×C3×C4×Q8—31no—
50C22×C3×C4⋊C4—31no—
51C2×#946—31no—
52C2×#946—31no—
53C2×C4×#67—31no—
54C2×C4×#67—32no—
55C2×#924—31no—
56C2×#924—32no—
57#5579—316no—
58#5511—316no—
59C2×#897—31no—
60C2×#896—32no—
61C2×#896—32no—
62C2×#896—32no—
63C2×D3×C4⋊C4—31no—
64C2×D3×C4⋊C4—31no—
65C2×D3×C4⋊C4—61no—
66C2×D3×C4⋊C4D311yescharacteristic, complemented
67C2×#889—32no—
68C2×#888—31no—
69C2×#887D311yescharacteristic, complemented
70C2×C4×D12—32no—
71C2×C4×D12—31no—
72C2×#870—32no—
73C2×#869—31no—
74C23×C3⋊D3C2311yescharacteristic
75C23×C3×D3C2311yescharacteristic
76C22×C32×C4C2312yes—
77C22×C32×C4C2311yescharacteristic
78C22×C3⋊Dic3C2312yes—
79C22×C3⋊Dic3C2311yescharacteristic
80C2×C4×C3⋊D3—24no—
81C2×C4×C3⋊D3—44no—
82C2×C4×C3⋊D3C2314yes—
83C2×C4×C3⋊D3C2318yes—
84C22×C3×Dic3C2311yescharacteristic
85C22×C3×Dic3C2312yes—
86C22×C3×Dic3C2311yescharacteristic
87C22×C3×Dic3C2312yes—
88C22×C3×Dic3C2311yescharacteristic
89C2×C3×C4×D3—24no—
90C2×C3×C4×D3—44no—
91C2×C3×C4×D3C2314yes—
92C2×C3×C4×D3C2318yes—
93C2×C3×Dic6—24no—
94C2×C3×Dic6C2314yes—
95C2×#627—44no—
96C2×#627C2318yes—
97C2×#626Q818yescomplemented
98C2×#626C2314yes—
99C32×C4⋊C4C2314yes—
100C4⋊(C3⋊Dic3)C2314yes—
101#3750C2318yes—
102C3×C4⋊Dic3C2314yes—
103C3×Dic3⋊C4C2318yes—
104C3×Dic3⋊C4C2318yes—
105C3×C4×Dic3C2318yes—
106C3×C4×Dic3C2314yes—
107#3724C2318yes—
108Dic3⋊Dic3C2318yes—
109Dic3⋊Dic3C2314yes—
110Dic3⋊Dic3C2318yes—
111#3722C2314yes—
112#3722C2318yes—
113(C2×D3)⋊Dic3C2314yes—
114(C2×D3)⋊Dic3C2318yes—
115C2×#554—91noSylow
116C22×C3×Q8—31no—
117C23×C3×C4—31no—
118C23×C3×C4—32no—
119C22×#67—31no—
120C22×D12—31no—
121C22×C4×D3—31no—
122C22×C4×D3—31no—
123C22×C4×D3—32no—
124C22×C4×D3—32no—
125C22×C4×D3—61no—
126C22×C4×D3—62no—
127C22×C4×D3C2×D311yescharacteristic
128C22×C4×D3C2×D312yes—
129C22×Dic6—32no—
130C22×Dic6—32no—
131C22×Dic6C2×D311yescharacteristic
132C3×C4×Q8—38no—
133C2×C3×C4⋊C4—21no—
134C2×C3×C4⋊C4—32no—
135C2×C3×C4⋊C4—32no—
136C2×C3×C4⋊C4—31no—
137C2×C3×C4⋊C4—38no—
138C2×C3×C4⋊C4C2×D311yescharacteristic
139C2×C3×C4⋊C4C2×D311yescharacteristic
140C2×C3×C42—31no—
141C2×C3×C42—32no—
142C2×#217—31no—
143C2×#217—32no—
144#946—38no—
145#946—38no—
146C4×#67—38no—
147C4×#67—316no—
148C2×(C2×D3)⋊C4—31no—
149C2×(C2×D3)⋊C4—32no—
150C2×(C2×D3)⋊C4—31no—
151C2×(C2×D3)⋊C4—32no—
152C2×(C2×D3)⋊C4—31no—
153C2×(C2×D3)⋊C4—32no—
154C2×C4⋊Dic3—31no—
155C2×C4⋊Dic3—31no—
156C2×C4⋊Dic3—32no—
157C2×C4⋊Dic3—31no—
158C2×C4⋊Dic3—32no—
159C2×C4⋊Dic3—61no—
160C2×C4⋊Dic3C2×D311yescharacteristic
161#924—38no—
162#924—316no—
163C2×Dic3⋊C4—32no—
164C2×Dic3⋊C4—32no—
165C2×Dic3⋊C4—32no—
166C2×Dic3⋊C4—32no—
167C2×Dic3⋊C4—32no—
168C2×Dic3⋊C4—31no—
169C2×Dic3⋊C4—32no—
170C2×Dic3⋊C4—62no—
171C2×Dic3⋊C4C2×D312yes—
172C2×Dic3⋊C4C2×D312yes—
173C2×C4×Dic3C2×D311yescharacteristic
174C2×C4×Dic3C2×D312yes—
175#897—38no—
176#896—316no—
177#896—316no—
178#896—316no—
179D3×C4⋊C4—38no—
180D3×C4⋊C4—38no—
181D3×C4⋊C4—68no—
182D3×C4⋊C4C2×D318yescomplemented
183#889—316no—
184#888—38no—
185#887C2×D318yescomplemented
186C4×D12—316no—
187C4×D12—38no—
188#870—316no—
189#869—38no—
190C23×C32C2411yescharacteristic
191C22×C3⋊D3—22no—
192C22×C3⋊D3—22no—
193C22×C3⋊D3C2×Q814yes—
194C22×C3⋊D3C2412yes—
195C22×C3×D3—22no—
196C22×C3×D3—22no—
197C22×C3×D3C2×Q814yes—
198C22×C3×D3C2412yes—
199C2×C32×C4—24no—
200C2×C32×C4#4114yes—
201C2×C32×C4C2414yes—
202C2×C32×C4C2412yes—
203C2×C3⋊Dic3—22no—
204C2×C3⋊Dic3—24no—
205C2×C3⋊Dic3C2412yes—
206C2×C3⋊Dic3C2414yes—
207C4×C3⋊D3—28no—
208C4×C3⋊D3—48no—
209C2×C3×Dic3—24no—
210C2×C3×Dic3—22no—
211C2×C3×Dic3—22no—
212C2×C3×Dic3—24no—
213C2×C3×Dic3C2×Q814yes—
214C2×C3×Dic3C2414yes—
215C2×C3×Dic3C2412yes—
216C2×C3×Dic3C2414yes—
217C2×C3×Dic3C2412yes—
218C2×C3×Dic3C2412yes—
219C3×C4×D3—28no—
220C3×C4×D3—48no—
221C3×Dic6—28no—
222#627—48no—
223#626C2×Q8116yescomplemented
224#554—916no—
225C2×C4⋊Q8—91no—
226C2×#125—92no—
227C2×C22⋊Q8—92no—
228C2×C22⋊Q8—92no—
229C2×C22⋊Q8—91no—
230C2×C22⋊Q8—91no—
231C2×C4×Q8—31no—
232C2×C4×D4—92no—
233C2×C4×D4—91no—
234C22×C4⋊C4—31no—
235C22×C4⋊C4—91no—
236C24×C3—31no—
237C23×D3—31no—
238C23×D3—31no—
239C23×D3—61no—
240C23×D3C22×D311yescharacteristic
241C2×C3×Q8—34no—
242C2×C3×Q8—64no—
243C22×C3×C4—21no—
244C22×C3×C4—22no—
245C22×C3×C4—31no—
246C22×C3×C4—31no—
247C22×C3×C4—32no—
248C22×C3×C4—32no—
249C22×C3×C4—31no—
250C22×C3×C4—34no—
251C22×C3×C4—38no—
252C22×C3×C4—64no—
253C22×C3×C4—124no—
254C22×C3×C4C22×D312yes—
255C22×C3×C4C22×D312yes—
256C22×C3×C4C22×D311yescharacteristic
257C22×C3×C4C22×D311yescharacteristic
258C2×#67—38no—
259C2×#67—34no—
260C22×Dic3—31no—
261C22×Dic3—31no—
262C22×Dic3—32no—
263C22×Dic3—32no—
264C22×Dic3—61no—
265C22×Dic3—62no—
266C22×Dic3C22×D312yes—
267C22×Dic3C22×D311yescharacteristic
268C22×Dic3C22×D311yescharacteristic
269C22×Dic3C22×D312yes—
270C22×Dic3C22×D311yescharacteristic
271C2×D12—38no—
272C2×D12—34no—
273C2×C4×D3—24no—
274C2×C4×D3—34no—
275C2×C4×D3—34no—
276C2×C4×D3—38no—
277C2×C4×D3—38no—
278C2×C4×D3—44no—
279C2×C4×D3—64no—
280C2×C4×D3—68no—
281C2×C4×D3—68no—
282C2×C4×D3—64no—
283C2×C4×D3—64no—
284C2×C4×D3—124no—
285C2×C4×D3—124no—
286C2×C4×D3—128no—
287C2×C4×D3C22×D314yes—
288C2×C4×D3C22×D318yes—
289C2×Dic6—24no—
290C2×Dic6—38no—
291C2×Dic6—38no—
292C2×Dic6—124no—
293C2×Dic6—124no—
294C2×Dic6C22×D314yes—
295C3×C4⋊C4—24no—
296C3×C4⋊C4—34no—
297C3×C4⋊C4—38no—
298C3×C4⋊C4—38no—
299C3×C4⋊C4C22×D314yes—
300C3×C4⋊C4C22×D314yes—
301C3×C42—34no—
302C3×C42—38no—
303#217—34no—
304#217—38no—
305(C2×D3)⋊C4—34no—
306(C2×D3)⋊C4—38no—
307(C2×D3)⋊C4—34no—
308(C2×D3)⋊C4—38no—
309(C2×D3)⋊C4—34no—
310(C2×D3)⋊C4—38no—
311C4⋊Dic3—34no—
312C4⋊Dic3—34no—
313C4⋊Dic3—38no—
314C4⋊Dic3—34no—
315C4⋊Dic3—38no—
316C4⋊Dic3—64no—
317C4⋊Dic3C22×D314yes—
318Dic3⋊C4—38no—
319Dic3⋊C4—38no—
320Dic3⋊C4—38no—
321Dic3⋊C4—38no—
322Dic3⋊C4—38no—
323Dic3⋊C4—34no—
324Dic3⋊C4—38no—
325Dic3⋊C4—68no—
326Dic3⋊C4C22×D318yes—
327Dic3⋊C4C22×D318yes—
328C4×Dic3C22×D314yes—
329C4×Dic3C22×D318yes—
330C22×C32C22×Q812yes—
331C22×C32C2×#4112yes—
332C22×C32H(5,𝔽2)12yes—
333C22×C32C2511yescharacteristic
334C2×C3⋊D3—28no—
335C2×C3⋊D3—22no—
336C2×C3⋊D3—22no—
337C2×C3⋊D3C22×Q814yes—
338C2×C3×D3—28no—
339C2×C3×D3—22no—
340C2×C3×D3—22no—
341C2×C3×D3C22×Q814yes—
342C32×C4—24no—
343C32×C4C2×#4114yes—
344C3⋊Dic3—22no—
345C3⋊Dic3—24no—
346C3×Dic3—24no—
347C3×Dic3—22no—
348C3×Dic3—22no—
349C3×Dic3—24no—
350C3×Dic3C22×Q814yes—
351C22×Q8—31no—
352C22×Q8—92no—
353C22×D4—91no—
354C23×C4—31no—
355C23×C4—32no—
356C23×C4—91no—
357C23×C4—92no—
358C4⋊Q8—98no—
359#125—916no—
360C22⋊Q8—916no—
361C22⋊Q8—916no—
362C22⋊Q8—98no—
363C22⋊Q8—98no—
364C4×Q8—38no—
365C4×D4—916no—
366C4×D4—98no—
367C2×C4⋊C4—32no—
368C2×C4⋊C4—31no—
369C2×C4⋊C4—32no—
370C2×C4⋊C4—38no—
371C2×C4⋊C4—91no—
372C2×C4⋊C4—92no—
373C2×C4⋊C4—92no—
374C2×C4⋊C4—92no—
375C2×C4⋊C4—92no—
376C2×C4⋊C4—91no—
377C2×C4⋊C4—98no—
378C2×C4⋊C4D3211yescharacteristic
379C2×C22⋊C4—91no—
380C2×C22⋊C4—92no—
381C2×C22⋊C4—91no—
382C2×C22⋊C4—92no—
383C2×C42—32no—
384C2×C42—31no—
385C23×C3—21no—
386C23×C3—34no—
387C23×C3—32no—
388C23×C3—62no—
389C23×C3—62no—
390C23×C3C23×D311yescharacteristic
391C23×C3C23×D311yescharacteristic
392C22×D3—22no—
393C22×D3—22no—
394C22×D3—34no—
395C22×D3—34no—
396C22×D3—32no—
397C22×D3—32no—
398C22×D3—64no—
399C22×D3—62no—
400C22×D3—64no—
401C22×D3—64no—
402C22×D3—62no—
403C22×D3—62no—
404C22×D3—62no—
405C22×D3—62no—
406C22×D3D3×Q814yes—
407C22×D3C23×D312yes—
408C3×Q8—68no—
409C2×C3×C4—24no—
410C2×C3×C4—24no—
411C2×C3×C4—22no—
412C2×C3×C4—24no—
413C2×C3×C4—24no—
414C2×C3×C4—34no—
415C2×C3×C4—32no—
416C2×C3×C4—32no—
417C2×C3×C4—34no—
418C2×C3×C4—34no—
419C2×C3×C4—32no—
420C2×C3×C4—44no—
421C2×C3×C4—62no—
422C2×C3×C4—64no—
423C2×C3×C4—62no—
424C2×C3×C4—64no—
425C2×C3×C4—68no—
426C2×C3×C4—128no—
427C2×C3×C4#23514yes—
428C2×C3×C4#23514yes—
429C2×C3×C4C23×D314yes—
430C2×C3×C4C23×D314yes—
431C2×C3×C4C23×D312yes—
432C2×C3×C4C23×D312yes—
433#67—316no—
434C2×Dic3—24no—
435C2×Dic3—22no—
436C2×Dic3—24no—
437C2×Dic3—22no—
438C2×Dic3—32no—
439C2×Dic3—32no—
440C2×Dic3—34no—
441C2×Dic3—34no—
442C2×Dic3—62no—
443C2×Dic3—64no—
444C2×Dic3—64no—
445C2×Dic3—62no—
446C2×Dic3—62no—
447C2×Dic3—64no—
448C2×Dic3—64no—
449C2×Dic3—124no—
450C2×Dic3D3×Q814yes—
451C2×Dic3C23×D314yes—
452C2×Dic3C23×D312yes—
453C2×Dic3C23×D312yes—
454C2×Dic3C23×D314yes—
455C2×Dic3C23×D312yes—
456D12—316no—
457C4×D3—28no—
458C4×D3—48no—
459C4×D3—616no—
460C4×D3—68no—
461C4×D3—68no—
462C4×D3—128no—
463C4×D3—128no—
464C4×D3—1216no—
465Dic6—28no—
466Dic6—128no—
467Dic6—128no—
468C2×C32#55414yescomplemented
469C2×C32C23×Q811yescharacteristic
470C2×C32C22×#4111yescharacteristic
471C2×C32C2×H(5,𝔽2)11yescharacteristic
472C3⋊D3—24no—
473C3×D3—24no—
474C24—31no—
475C24—91no—
476C2×Q8—34no—
477C2×Q8—64no—
478C2×Q8—98no—
479C2×Q8—364no—
480C2×D4—94no—
481C2×D4—98no—
482C22×C4—31no—
483C22×C4—31no—
484C22×C4—32no—
485C22×C4—31no—
486C22×C4—32no—
487C22×C4—34no—
488C22×C4—38no—
489C22×C4—64no—
490C22×C4—91no—
491C22×C4—92no—
492C22×C4—94no—
493C22×C4—98no—
494C22×C4—124no—
495C22×C4—184no—
496C22×C4—364no—
497C22×C4C2×D3212yes—
498C22×C4C2×D3211yescharacteristic
499C4⋊C4—38no—
500C4⋊C4—34no—
501C4⋊C4—38no—
502C4⋊C4—94no—
503C4⋊C4—98no—
504C4⋊C4—98no—
505C4⋊C4—98no—
506C4⋊C4—98no—
507C4⋊C4—94no—
508C4⋊C4C2×D3214yes—
509C22⋊C4—94no—
510C22⋊C4—98no—
511C22⋊C4—94no—
512C22⋊C4—98no—
513C42—38no—
514C42—34no—
515C22×C3—22no—
516C22×C3—22no—
517C22×C3—22no—
518C22×C3—21no—
519C22×C3—34no—
520C22×C3—62no—
521C22×C3—62no—
522C22×C3—68no—
523C22×C3C2×#23512yes—
524C22×C3C2×#23512yes—
525C22×C3#100412yes—
526C22×C3C2×D3×Q812yes—
527C22×C3C2×D3×Q812yes—
528C22×C3#100912yes—
529C22×C3C24×D311yescharacteristic
530C22×C3C24×D311yescharacteristic
531C2×D3—22no—
532C2×D3—22no—
533C2×D3—28no—
534C2×D3—34no—
535C2×D3—34no—
536C2×D3—64no—
537C2×D3—64no—
538C2×D3—64no—
539C2×D3—616no—
540C2×D3—62no—
541C2×D3—62no—
542C2×D3—62no—
543C2×D3—62no—
544C2×D3—68no—
545C2×D3—68no—
546C2×D3C2×D3×Q814yes—
547C3×C4—24no—
548C3×C4—24no—
549C3×C4—24no—
550C3×C4—34no—
551C3×C4—44no—
552C3×C4—62no—
553C3×C4—64no—
554C3×C4—62no—
555C3×C4—64no—
556C3×C4C2×#23514yes—
557C3×C4C2×#23514yes—
558Dic3—24no—
559Dic3—22no—
560Dic3—24no—
561Dic3—22no—
562Dic3—64no—
563Dic3—62no—
564Dic3—62no—
565Dic3—64no—
566Dic3—64no—
567Dic3—124no—
568Dic3C2×D3×Q814yes—
569C32C2×#55411yescharacteristic, complemented, Sylow
570C23—34no—
571C23—32no—
572C23—62no—
573C23—62no—
574C23—94no—
575C23—92no—
576C23—182no—
577C23—182no—
578C23C22×D3211yescharacteristic
579Q8—68no—
580Q8—368no—
581D4—916no—
582C2×C4—24no—
583C2×C4—34no—
584C2×C4—32no—
585C2×C4—32no—
586C2×C4—34no—
587C2×C4—32no—
588C2×C4—34no—
589C2×C4—62no—
590C2×C4—64no—
591C2×C4—64no—
592C2×C4—62no—
593C2×C4—68no—
594C2×C4—92no—
595C2×C4—94no—
596C2×C4—128no—
597C2×C4—182no—
598C2×C4—184no—
599C2×C4—188no—
600C2×C4—368no—
601C2×C4#379814yes—
602C2×C4C22×D3214yes—
603C2×C4C22×D3212yes—
604C2×C3—21no—
605C2×C3—21no—
606C2×C3—21no—
607C2×C3—24no—
608C2×C3—64no—
609C2×C3#551114yescomplemented
610C2×C3#557914yescomplemented
611C2×C3C22×#23511yescharacteristic
612C2×C3C22×#23511yescharacteristic
613C2×C3C2×#100411yescharacteristic
614C2×C3C22×D3×Q811yescharacteristic
615C2×C3C22×D3×Q811yescharacteristic
616C2×C3C2×#100911yescharacteristic
617D3—24no—
618D3—68no—
619D3—64no—
620D3—64no—
621C22—34no—
622C22—62no—
623C22—62no—
624C22—68no—
625C22—94no—
626C22—182no—
627C22—182no—
628C22—188no—
629C22C2×#379812yes—
630C22#6431412yes—
631C22D32×Q812yes—
632C22C23×D3211yescharacteristic
633C4—24no—
634C4—34no—
635C4—62no—
636C4—64no—
637C4—64no—
638C4—62no—
639C4—182no—
640C4—184no—
641C4C2×#379814yes—
642C3—21no—
643C3C2×#551111yescharacteristic, complemented
644C3C2×#557911yescharacteristic, complemented
645C2—64no—
646C2—184no—
647C2#1059453614yesdirect product factor
648C2C22×#379811yescharacteristic
649C2C2×#6431411yescharacteristic
650C2C2×D32×Q811yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C4⋊C4C22
socleC23×C32C24
prime radicalC22×#626C22
hypercenterC2×C4⋊C4D32
hypocenterC32C2×#554
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×C4⋊C4×C3⋊D3C2semidirect
2. C2×C3×D3×C4⋊C4C2semidirect
3. C2×C3×#887C2semidirect
4. C2×#63918C2semidirect
7. C2×#63871C2semidirect
8. C2×#63867C2semidirect
9. C2×#63865C2semidirect
10. C2×#63856C2semidirect
11. C2×#63851C2semidirect
12. #10594536C2direct (N × H)
25. C4⋊C4×C3⋊D3C22semidirect
31. C3×D3×C4⋊C4C22semidirect
32. C3×#887C22semidirect
41. #63918C22semidirect
44. #63871C22semidirect
45. #63867C22semidirect
46. #63865C22semidirect
47. #63856C22semidirect
48. #63851C22semidirect
66. C2×D3×C4⋊C4D3semidirect
69. C2×#887D3semidirect
97. C2×#626Q8semidirect
182. D3×C4⋊C4C2×D3semidirect
185. #887C2×D3semidirect
223. #626C2×Q8semidirect
468. C2×C32#554semidirect
569. C32C2×#554semidirect
609. C2×C3#5511semidirect
610. C2×C3#5579semidirect
643. C3C2×#5511semidirect
644. C3C2×#5579semidirect
647. C2#10594536direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×C4⋊C4×C3⋊D32
C2×C3×D3×C4⋊C42
C2×C3×#8872
C2×#639182
C2×C4×#6262
C2×#638712
C2×#638672
C2×#638652
C2×#638562
C2×#638512
#105945362
C2×#55793
C2×#55113